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Title of Journal: Nonlinear Dyn

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Abbravation: Nonlinear Dynamics

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Springer Netherlands

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DOI

10.1016/0034-5687(72)90059-x

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1573-269X

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Hopf bifurcation for a smallworld network model w

Authors: Hongyong Zhao Wen Xie
Publish Date: 2010/09/05
Volume: 63, Issue: 3, Pages: 345-357
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Abstract

To delay the onset of undesirable bifurcation the bifurcation control has become a subject of intense research activities In this paper a smallworld network model with the delay feedback is considered in which the strength of feedback control is a nonlinear function of delay With this controller one can change the critical value of bifurcation and thus enlarge the stable region Moreover by adding some proper slowly varying parts into the bifurcation parameters the stability can be improved Numerical results show that the dynamics of the smallworld network model with the controller of delaydependent parameters is quite different from that of a system with the controller of delayindependent parameters only

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